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3 years ago

In what line do planes A and QRV intersect?

Mathematics

1 answer:

matrenka [14]3 years ago

6 0

In this question, we have to fin the line of intersection of the planes A and QRV.

We have to see the given figure and find the line on which the two planes A and QRV meets.

Lines SR,TS, WT and WQ are not on plane QRV.

The only line which passes through both planes is QR.

And that's the line of intersection of the two planes.

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2 years ago

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The ratio of girls to boys at a school dance is 3 to 2. There are 54 boys at the dance. How many girls are at the dance

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Answer:

There are 81 girls.

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5 0

2 years ago

A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a

Arte-miy333 [17]

Answer:

$(a)\ t^2 - 20t + 75= 0$

$(b)$ $t = 5; t -=15$

Step-by-step explanation:

Given

$p(t) = t^2 - 20t + 175$

Solving (a): Equation when profit = 100.

This implies that:

$p(t) =100$

So, we have:

$100 = t^2 - 20t + 175$

Rewrite as:

$t^2 - 20t + 175 - 100 = 0$

$t^2 - 20t + 75= 0$

Solving (b): Calculate t, in (a)

In a, we have:

$t^2 - 20t + 75= 0$

Expand

$t^2 - 15t -5t + 75= 0$

Factorize

$t(t - 15) -5(t - 15)= 0$

Factor out t - 15

$(t - 5)(t - 15)= 0$

Split

$t - 5 = 0; t - 15 =0$

Solve

$t = 5; t -=15$

<em>The prices are $5 and $15, respectively</em>

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3 years ago